A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes

Wojciech Dybalski, Michał Wrochna
September 13, 2018
In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary are subalgebras of a boundary algebra. The underlying mechanism is directly related to holography for classical fields. In particular, the proof relies on unique continuation theorems at the conformal boundary.
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%%% contains utf-8, see: http://inspirehep.net/info/faq/general#utf8 %%% add \usepackage[utf8]{inputenc} to your latex preamble @article{Dybalski:2018egv, author = "Dybalski, Wojciech and Wrochna, Michał", title = "{A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes}", journal = "Class. Quant. Grav.", volume = "36", year = "2019", number = "8", pages = "085006", doi = "10.1088/1361-6382/ab0cb1", eprint = "1809.05123", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1809.05123;%%" }

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